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Finding the Third Proportional to 339,984 and 739,584

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Solution

The third proportional to 339,984 and 739,584 is: 1,608,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,984 : 739,584 = 739,584 : x
  2. Step 2: Convert to fraction form
    339,984/739,584 = 739,584/x
  3. Step 3: Cross multiply
    339,984x = 739,584 × 739,584
  4. Step 4: Simplify right side
    339,984x = 546,984,493,056
  5. Step 5: Solve for x
    x = 546,984,493,056/339,984
  6. Step 6: Final answer
    x = 1,608,853.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.